On certain quasiconformal and elliptic mappings

2020/06/05 by Shaolin Chen, Chen, Shaolin, Saminathan Ponnusamy +1 · 2 citations
Mathematics · Medicine · #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Pharmacological Effects of Medicinal Plants

paper · pdf · doi:10.48550/arxiv.2006.03216

openalex publication_date 2020/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let \mathbbD be the closure of the unit disk \mathbbD in the complex plane ℂ and g be a continuous function in \mathbbD. In this paper, we discuss some characterizations of elliptic mappings f satisfying the Poisson's equation Δf=g in \mathbbD, and then establish some sharp distortion theorems on elliptic mappings with the finite perimeter and the finite radial length, respectively. The obtained results are the extension of the corresponding classical results.

Cited by

• Growth type theorems of harmonic (K,K')-quasiregular mappings
• Conjugate type properties of harmonic (K,K')-quasiregular mappings

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